Answer :

Let's solve the equation [tex]\(-16x = 80\)[/tex] step by step:

1. We start with the equation:

[tex]\[ -16x = 80 \][/tex]

2. To isolate [tex]\(x\)[/tex], we need to divide both sides of the equation by the coefficient of [tex]\(x\)[/tex], which is [tex]\(-16\)[/tex]:

[tex]\[ x = \frac{80}{-16} \][/tex]

3. Simplifying the fraction:

[tex]\[ x = -5 \][/tex]

So, the solution to the equation [tex]\( -16x = 80 \)[/tex] is [tex]\( x = -5 \)[/tex].

Therefore, the correct option is:
D. [tex]\( x = -5 \)[/tex]